The Stress–strength Model And Its Generalizations: Theory And Applications

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Bibliographic Details
Title: The Stress–strength Model And Its Generalizations: Theory And Applications
Description: This important book presents developments in a remarkable field of inquiry in statistical/probability theory — the stress-strength model.Many papers in the field include the enigmatic “words” P(X
Authors: Samuel Kotz, Yan Lumelskii, Marianna Pensky
Resource Type: eBook.
Subjects: Reliability (Engineering)--Statistical methods, Estimation theory, Distribution (Probability theory), Mathematical statistics
Categories: MATHEMATICS / Probability & Statistics / Bayesian Analysis, MATHEMATICS / Combinatorics, TECHNOLOGY & ENGINEERING / Mechanical
Database: eBook Collection (EBSCOhost)
Description
Abstract:This important book presents developments in a remarkable field of inquiry in statistical/probability theory — the stress-strength model.Many papers in the field include the enigmatic “words” P(X<Y) — or something similar — in the title. This reflects the long-established concept of ordering of distributions. The basic impetus for the study carried out by the authors of this book is the general concept of stress-strength as an interpretation of the P(X<Y) relationships, which leads to applications in reliability engineering, economics and modern medicine.The Stress-Strength Model and Its Generalizations collects and digests theoretical and practical results on the theory and applications of the stress-strength relationships in industrial and economic systems — results that have been scattered in the literature during the last 40-odd years — and augments and presents them for the first time in a unified manner suitable for practitioners as well as probabilists and theoretical and applied statisticians.
ISBN:9789812380579
9789812564511